Complex Wedge-Shaped Matrices: A Generalization of Jacobi Matrices

0448099 - ÚI 2016 RIV US eng J - Článek v odborném periodiku
Hnětynková, Iveta - Plešinger, M.
Complex Wedge-Shaped Matrices: A Generalization of Jacobi Matrices.
Linear Algebra and Its Applications. Roč. 487, 15 December (2015), s. 203-219. ISSN 0024-3795. E-ISSN 1873-1856
Grant CEP: GA ČR GA13-06684S
Klíčová slova: eigenvalues * eigenvector * wedge-shaped matrices * generalized Jacobi matrices * band (or block) Krylov subspace methods
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.965, rok: 2015

The paper by I. Hnětynková et al. (2015) [11] introduces real wedge-shaped matrices that can be seen as a generalization of Jacobi matrices, and investigates their basic properties. They are used in the analysis of the behavior of a Krylov subspace method: The band (or block) generalization of the Golub–Kahan bidiagonalization. Wedge-shaped matrices can be linked also to the band (or block) Lanczos method. In this paper, we introduce a complex generalization of wedge-shaped matrices and show some further spectral properties, complementing the already known ones. We focus in particular on nonzero components of eigenvectors.
Trvalý link: http://hdl.handle.net/11104/0249820